A Nonsingular Fast Terminal Sliding Mode Controller with Varying Boundary Layers for Permanent Magnet Synchronous Motors

doi:10.7652/xjtuxb201506009

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A Nonsingular Fast Terminal Sliding Mode Controller with Varying Boundary Layers for Permanent Magnet Synchronous Motors

更新时间：2025-07-09

- A Nonsingular Fast Terminal Sliding Mode Controller with Varying Boundary Layers for Permanent Magnet Synchronous Motors
- Vol. 49, Issue 6, Pages: 53-59(2015)
- 作者机构：
  
  西安交通大学电气工程学院,西安,710049
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb201506009
  CLC： TM301
- Online First：10 June 2015，
  
  Published：2015
- 稿件说明：
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A Nonsingular Fast Terminal Sliding Mode Controller with Varying Boundary Layers for Permanent Magnet Synchronous Motors[J]. 2015, 49(6): 53-59.
DOI：

A Nonsingular Fast Terminal Sliding Mode Controller with Varying Boundary Layers for Permanent Magnet Synchronous Motors[J]. 2015, 49(6): 53-59. DOI： 10.7652/xjtuxb201506009.

摘要

针对永磁同步电机(PMSM)调速系统易受到参数不确定性及负载扰动的影响

提出了一种新型可变边界层的非奇异快速终端滑模(NFTSM)控制策略。首先

构建可在有限时间内快速收敛的非奇异快速终端滑模面; 然后

采用角速度与q轴定子参考电流的二阶模型设计速度环滑模控制器

减小了角速度与q轴定子参考电流一阶模型所引起的误差

并避免了终端滑模面奇异问题; 最后

设计可变边界层使误差减小至阈值时系统状态切换至小边界层

实现抖振和跟踪精度的协调控制。数值仿真结果表明

NFTSM控制策略与传统PI控制策略相比

转速超调量小

响应速度快

稳态精度近似为0

对参数摄动和负载扰动鲁棒性强

且在有效削弱抖振的同时保证了转速的稳态精度。

Abstract

A nonsingular fast terminal sliding mode(NFTSM)controller with varying boundary layers is proposed to solve the problem that speed-regulation systems of permanent magnet synchronous motors(PMSM)are susceptible to parameter uncertainties and disturbances of external loads. The sliding mode control law for speed loop is developed through building the NFTSM surface with fast convergence in a finite time and using the second-order model of rotary speed and q-axis stator reference current so that the errors caused by the first-order model of rotary speed and q-axis stator reference current are decreased and the singular problem of the terminal sliding mode surface is avoided. Furthermore

the varying boundary layer is designed to make the system states switch to a small boundary layer when the error decreases to a threshold so that the coordinated control between chattering and tracking accuracy is realized. Numerical simulation results and a comparison with the traditional PI control show that the proposed NFTSM control scheme achieves smaller overshoot and faster response

and the steady-state error is near to zero. Moreover

the NFTSM has strong robustness in parameter variations and disturbances of external loads

and ensures a higher steady-state precision of the speed with a lower chattering.

关键词

Keywords

references

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